Graphing Inequalities

• < and > have open circles

• ≤ and ≥ have closed circles

Solving One-Step Inequalities

• Isolate the variable

• Use inverse operations to help you isolate the variable

x - 5 ≤ 3

• Since the operation in the inequality is subtraction, we will use addition to solve.

• Add 5 to both sides on the inequality sign.

• 5 +3=8

• x≤8

• If we were to graph this, the circle would be closed!

x + 4 ≥9

• Since the operation in the inequality is addition, we will use subtraction to solve.

• Subtract 4 from both sides on the inequality sign.

• 9-4=5

• x≥5

• If we were to graph this, the circle would be closed!

6x ≤ 18

• Since the operation in the inequality is multiplication, we will use division to solve.

• Divide both sides of the inequality sign by 6

• 18 divided by 6 equals 3

• x≤3

• If we were to graph this, the circle would be closed!

• Since the operation in the inequality is division, we will use multiplication to solve.

• Multiply both sides of the inequality sign by 5.

• 4 times 5=20

• x>20

• If we were to graph this, the circle would be open!